Answer:
there were 82 adult tickets and 32 children tickets that were sold
Step-by-step explanation:
x = adult's tickets
y = children's tickets
x + y = 114
y = -x +114
replace y by -x +114 in the second equation
11x + 6y = 1094
11x + 6(-x + 114) = 1094
11x -6x + 684 = 1094
5x + 684 = 1094
5x = 410
x = 82
x + y = 114
82 + y = 114
y = 32
Let us evaluate the equations one at a time.
1) 3x + 5 = -2
3x = -7
x = -7/3
This equation has unique solution.
2) 6(x - 11) = 15 - 4x
6x - 66 = 15 - 4x
10x = 81
x = 81/10
Ths equation has a unique solution
3) 12x + 9 = 8x + 1 + 4x
12x - 8x - 4x = 1 - 9
0x = -8
x = -8/0
This equation has no solution.
4) 2(x - 3) = 10x - 6 - 8x
2x - 6 = 10x - 6 - 8x
2x - 10x + 8x = -6 + 6
0x = 0
x = 0/0
Ths equation has no solution.
5) 5x + 6 = 5x - 4
5x - 5x = -4 - 6
0x = -10
x = -10/0
This equation has no solution.
Answer:
We know that n = 50 and p =0.78.
We need to check the conditions in order to use the normal approximation.
Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:
With the following parameters:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
We know that n = 50 and p =0.78.
We need to check the conditions in order to use the normal approximation.
Since both conditions are satisfied we can use the normal approximation and the distribution for the proportion is given by:
With the following parameters:
I cannot see what the selections are in order to help you correctly
ANSWER: C)30yd EXPLAINED: base x hight devided by 2 or 1/2 hope this helps